In the meantime, the 40103 counter based schematic would look like so. I wouldn't let the crystal scare you away from using it, they are dog simple, cheap and readily available. Almost any tuning fork style 32.768KHz will do, idealy you just match up the specified loading capacitance to be within the range of the capacitance shown. Any other form of timing for this duration doesn't make any sense at all. An RC-based oscillator with a time constant on the order of 1-second could easily be off by days.
Please view in a fixed-width font such as Courier.
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.
. 7 DAY TIMER 2HZ CLK OPTION
.
. NOMINAL TIMING ERROR LESS THAN 1 MINUTE
.
.
. MANUAL START/ RESET VCC
. |
. .----------------+---------+
. | | 1N4148 |
. | --- |
. | / \ | CD40106
. | CNT --- | U1:A RST
. '---o | |\ ----
. \o--[100K]--+--[1K]--| o-------. |
. .---o | |/ | | CNT
. | RST | | | ----
. | | | |
. | === | |
. | 0.68u| | |
. | | | |
. +----------------+---------' |
. | |
. --- .----------------'
. COM |
. .-----------|---------------------------.
. | | |
. | | U2:A U1:B |
. | | __ U2:B |
. | '----\ \ |\ __ |
. | | o--+--| o----\ \ | __
. | .----/__/ | |/ | o-' TO PL U3-5
. | | | .--/__/ ASYNC LOAD
. | | | |
. | U2:C | | |
. | __ | CD4002 | |
. +----\ \ | U2 | |
. | | o--' | '-------.
. .--|----/__/ | |
. | | | |
. | | | U2:D |
. | | PRELOAD SYNCHRONIZER | __ |
. | | '------\ \ | __
. | | | o---+ TO TE U3
. | +------------------------------/__/ | CNT ENABLE
. | | |
. | | |
. | | .-----------------------------------'
. | | |
. .---|--|--|---------.
. | | | | | - 0 - - 0 - 2HZ CLK
. | | +--|------. | 1 0 0 0 0 0 0 0 0
. | | | | | | | | | | | | | | |
. | | | | ----------------------------------
. | | | | |__ __ __ |
. | | | | |PL PE MR P0 P1 P2 P3 P4 P5 P6 P7 |
. | | | | |__ |
. | | | '-----|TE __|
. | | | | 74HC40103 TC|--.
.2HZ | | | | U3 | |
.CLK>-|---+--|--------|>CP | |
. | | | | LSByte | |
. | | | ---------------------------------- |
. | | | |
. | | | .----------------------------------------'
. | | | |
. +---|--|-----|------. - 5 - - 7 - 2HZ CLK
. | | +-----|---. | 1 1 0 1 0 1 1 1 0
. | | | | | | | | | | | | | | |
. | | | | ----------------------------------
. | | | | |__ __ __ |
. | | | | |PL PE MR P0 P1 P2 P3 P4 P5 P6 P7 |
. | | | | |__ |
. | | | '--|TE __|
. | | | | 74HC40103 TC|--.
. | | | | U4 | |
. | +--|--------|>CP | |
. | | | | NSByte | |
. | | | ---------------------------------- |
. | | | |
. | | | .----------------------------------------'
. | | | |
. +---|--|-----|------. - 2 - - 1 - 2HZ CLK
. | | '-----|---. | 1 0 1 0 0 1 0 0 0
. | | | | | | | | | | | | | | 1/2s
. | | | ----------------------------------
. | | | |__ __ __ | ->| |<-
. | | | |PL PE MR P0 P1 P2 P3 P4 P5 P6 P7 | -- --
. | | | |__ | |__|
. | | '--|TE __|
. | | | 74HC40103 TC|-+-> OUT
. | | | U5 | | TO PULSE
. | '-----------|>CP | | STRETCHER
. | | MSByte | |
. | ---------------------------------- |
. | |
. '----------------------------------------------------'
. __
. <-- TO PE U3-5
. SYNC LOAD
.
. STARTS NEW 7-DAY COUNT
.
.
. 2HZ CLK OSC
.
. ----------------------------
. .---|RST |
. | | Q14|--->2HZ CLK
. --- | CD4060 |
. COM | U6 ____ |
. |PHI1 PHI0 |
. ----------------------------
. | |
. +--------[15M]--------+
. | |
. | |
. | CRYSTAL [330K]
. | _ |
. +--------||_||--------+
. | |_
. 10P | 32.768KHZ 39P |/|
. === ===
. | /|
. '---------+-----------'
. |
. ---
. COM
.
.
.
.
. OUTPUT PULSE STRETCHER
.
. VCC
. |_
. |/|
. [1M]
. U1 /|
. CD40106 |
. [10K]
. |\ |\ 1N4148 | |\
. OUT >--| o---| o--|<|---+-----+------| o--> TO SOLENOID DRVR
. |/ |/ 1U| | |/
. === === |<-1s->|
. - - | |0.01U ------
. | | --- --- | |
. |__| COM COM _| |_
.
.
.
. unused
. |\
. .--| o--
. | |/
. ---
. COM
.
.
.
.
.